Home
Class 12
MATHS
If f(x)=sin^2x and the composite funct...

If `f(x)=sin^2x` and the composite function `g(f(x))=|sinx|` , then `g(x)` is equal to (a) `sqrt(x-1)` (b) `sqrt(x)` (c) `sqrt(x+1)` (d) `-sqrt(x)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos

  • HIGHER ORDER DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|179 Videos

Similar Questions

Explore conceptually related problems

If f(x)=sqrt(1-sin2x), then f'(x) equals

The range of function f(x)=sin^(-1)(x-sqrt(x)) is equal to

Find the domain of the function f(x)=sin^(-1)sqrt(x-1)

Find the domain of the function f(x)=sin^(-1)sqrt(x-1)

Find the domain of the function f(x) = sin^-1 sqrt(x-1)

The function f(x)=sin(log(x+ sqrt(x^2+1))) ​

If f'(x)=sqrt(x) and f(1)=2 then f(x) is equal to

IF f(x) = sqrt(x) and the composite function f(g(x))= sqrt(4x^2-5) , which of the following could be g(x) ?

If f(x) =(x-4)/(2sqrt(x)) , then f^(')(1) is equal to

The domain of the function f(x)=sqrt(x-sqrt(1-x^2)) is

RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Let f(x)=1/(1-x) . Then, {f\ o\ (f\ o\ f)}(x)=(a) x for all x in R...

    Text Solution

    |

  2. If the function f: R->R be such that f(x) = x-[x], where [x] denotes t...

    Text Solution

    |

  3. If F :[1,oo)vec[2,oo) is given by f(x)=x+1/x ,t h e nf^(-1)(x) equals....

    Text Solution

    |

  4. Let g(x)=1+x-[x]a n df(x)={-1, x<0;0, if x=0;1, ifx >0 . Then for all ...

    Text Solution

    |

  5. Let f(x)=(alphax)/((x+1)),x!=-1. for what value of alpha is f(f(x))=x ...

    Text Solution

    |

  6. The distinct linear functions which map [-1, 1] onto [0, 2] are f(x...

    Text Solution

    |

  7. If f :[2,oo)rarr(-oo,4], where f(x)=x(4-x) then find f^-1(x)

    Text Solution

    |

  8. If f: Rvec(-1,1) is defined by f(x)=-(x|x|)/(1+x^2),t h e nf^(-1)(x) e...

    Text Solution

    |

  9. Let [x] denote the greatest integer less than or equal to x . If f(x...

    Text Solution

    |

  10. If g(x)=x^2+x-2a n d1/2gof(x)=2x^2-5x+2, then which is not a possible ...

    Text Solution

    |

  11. If f(x)=sin^2x and the composite function g(f(x))=|sinx| , then g(x)...

    Text Solution

    |

  12. Let f: R->R be given by f(x)=x^2-3 . Then, f^(-1) is given by sqrt(x+3...

    Text Solution

    |

  13. Let f(x)=x^3 be a function with domain {0, 1, 2, 3}. Then domain of...

    Text Solution

    |

  14. Let f: R->R be given by f(x)=x^2-3 . Then, f^(-1) is given by (a)sqrt(...

    Text Solution

    |

  15. Let f: R->R be given by f(x)=tanx . Then, f^(-1)(1) is pi/4 (b) {npi+p...

    Text Solution

    |

  16. Let f: R->R be defined as f(x)={ 2x, if x>3, x^2 if x is less than 1. ...

    Text Solution

    |

  17. Let A={1,2,..., n} and B={a , b }. Then number of subjections from A i...

    Text Solution

    |

  18. If the set A contains 5 elements and the set B contains 6 elements, th...

    Text Solution

    |

  19. If the set A contains 7 elements and the set B contains 10 elements, ...

    Text Solution

    |

  20. Let f: R-{3/5}->R be defined by f(x)=(3x+2)/(5x-3) . Then (a).f^-1(x)...

    Text Solution

    |